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Name: ______________________________________________________
Ms. Kinzer
Date: ____________
Period # _____
Aim: How are the sides and angles of a triangle related, if there are two or more congruent sides or angles?
Smart Start:
Classify each triangle by its sides.
1.
2.
3.
Find the missing measurements. Remember to draw each figure!
4. In Δ
, if
5. In Δ
, if
and
and
Base Angles Theorem
Converse of the Base Angles Theorem
Example 1
what is
?
what are the measure so of
and
?
Corollary to the Base Angles Theorem
If a triangle is equilateral, then it is ________________________.
Corollary to the Converse of the Base Angles Theorem:
If a triangle is equiangular, then it is ___________.
Example 2
Find the measures of angles R, S, T.
Practice: Complete the following statements for questions 3 and 4 using the figure on the right.
3.
4.
Find the missing measurement.
5.
6.
7.
Find the value of . Write an equation and show your work!
8.
9.
10.
11.